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Finding the Fourth Proportional to 129,050.50, 178,118.13 and 71,709.49

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Solution

The fourth proportional to 129,050.50, 178,118.13 and 71,709.49 is: 98,974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,050.50 : 178,118.13 = 71,709.49 : x
  2. Step 2: Convert to fraction form
    129,050.50/178,118.13 = 71,709.49/x
  3. Step 3: Cross multiply
    129,050.50x = 178,118.13 × 71,709.49
  4. Step 4: Simplify right side
    129,050.50x = 12,772,760,262.05
  5. Step 5: Solve for x
    x = 12,772,760,262.05/129,050.50
  6. Step 6: Final answer
    x = 98,974.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.